Description: In this course, participants
will learn how to use a variety of mathematical models – specifically linear
and area models which can be applied to teaching practice to foster a better
understanding of fractions for their students in grades 3 -
5. Using manipulatives like Cuisinaire rods and pattern blocks – both virtual and
“hands on” –participants will develop a broader understanding of what
fractions are and how they can be operated upon through engagement in the
mathematics. Participants will investigate student difficulties
with fractions through examining student work and student
interviews. For the final project, participants will create
classroom activities about fractions using the mathematical models used
throughout the course.

Pre-requisites: This is a course designed
for teachers, curriculum specialists, professional development specialists,
or other school personnel. Participants are expected to have regular access
to computers, and proficiency with email and current web-browsers.

Objectives: This course will:
• develop a broader understanding of what fractions are and the mathematics
underlying the algorithms
• provide course participants with a greater understanding of student
difficulties with fractions through examining student work and conducting a
student interview;
• introduce teachers to specific mathematical models, specifically linear and
area models, which can be applied to their teaching practice to foster better
understanding of fractions; and
• promote a “learning-by-doing” methodology, which is applicable to students
at all ages.